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Finding the Third Proportional to 137,797.13 and 295,276.13

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Solution

The third proportional to 137,797.13 and 295,276.13 is: 632,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.13 : 295,276.13 = 295,276.13 : x
  2. Step 2: Convert to fraction form
    137,797.13/295,276.13 = 295,276.13/x
  3. Step 3: Cross multiply
    137,797.13x = 295,276.13 × 295,276.13
  4. Step 4: Simplify right side
    137,797.13x = 87,187,989,995.02
  5. Step 5: Solve for x
    x = 87,187,989,995.02/137,797.13
  6. Step 6: Final answer
    x = 632,727.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.